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Finding the Fourth Proportional to 474.18, 711.68 and 291.93

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Solution

The fourth proportional to 474.18, 711.68 and 291.93 is: 438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.18 : 711.68 = 291.93 : x
  2. Step 2: Convert to fraction form
    474.18/711.68 = 291.93/x
  3. Step 3: Cross multiply
    474.18x = 711.68 × 291.93
  4. Step 4: Simplify right side
    474.18x = 207,759.28
  5. Step 5: Solve for x
    x = 207,759.28/474.18
  6. Step 6: Final answer
    x = 438.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.