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Finding the Fourth Proportional to 356.81, 532.45 and 315.81

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Solution

The fourth proportional to 356.81, 532.45 and 315.81 is: 471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.81 : 532.45 = 315.81 : x
  2. Step 2: Convert to fraction form
    356.81/532.45 = 315.81/x
  3. Step 3: Cross multiply
    356.81x = 532.45 × 315.81
  4. Step 4: Simplify right side
    356.81x = 168,150.37
  5. Step 5: Solve for x
    x = 168,150.37/356.81
  6. Step 6: Final answer
    x = 471.26

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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.