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Finding the Fourth Proportional to 440.14, 656.98 and 382.77

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Solution

The fourth proportional to 440.14, 656.98 and 382.77 is: 571.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.14 : 656.98 = 382.77 : x
  2. Step 2: Convert to fraction form
    440.14/656.98 = 382.77/x
  3. Step 3: Cross multiply
    440.14x = 656.98 × 382.77
  4. Step 4: Simplify right side
    440.14x = 251,472.23
  5. Step 5: Solve for x
    x = 251,472.23/440.14
  6. Step 6: Final answer
    x = 571.35

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Find fourth proportional to 220.07, 328.49 and 191.39
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.