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Finding the Fourth Proportional to 356.71, 493.05 and 259.15

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Solution

The fourth proportional to 356.71, 493.05 and 259.15 is: 358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.71 : 493.05 = 259.15 : x
  2. Step 2: Convert to fraction form
    356.71/493.05 = 259.15/x
  3. Step 3: Cross multiply
    356.71x = 493.05 × 259.15
  4. Step 4: Simplify right side
    356.71x = 127,773.91
  5. Step 5: Solve for x
    x = 127,773.91/356.71
  6. Step 6: Final answer
    x = 358.20

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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.