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Finding the Fourth Proportional to 440.93, 608.36 and 316.80

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Solution

The fourth proportional to 440.93, 608.36 and 316.80 is: 437.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.93 : 608.36 = 316.80 : x
  2. Step 2: Convert to fraction form
    440.93/608.36 = 316.80/x
  3. Step 3: Cross multiply
    440.93x = 608.36 × 316.80
  4. Step 4: Simplify right side
    440.93x = 192,726.86
  5. Step 5: Solve for x
    x = 192,726.86/440.93
  6. Step 6: Final answer
    x = 437.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.