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Finding the Fourth Proportional to 45.70, 63.30 and 42.77

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Solution

The fourth proportional to 45.70, 63.30 and 42.77 is: 59.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.70 : 63.30 = 42.77 : x
  2. Step 2: Convert to fraction form
    45.70/63.30 = 42.77/x
  3. Step 3: Cross multiply
    45.70x = 63.30 × 42.77
  4. Step 4: Simplify right side
    45.70x = 2,707.34
  5. Step 5: Solve for x
    x = 2,707.34/45.70
  6. Step 6: Final answer
    x = 59.24

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Find fourth proportional to 22.85, 31.65 and 21.39
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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.