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Finding the Fourth Proportional to 356.81, 532.58 and 315.77

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Solution

The fourth proportional to 356.81, 532.58 and 315.77 is: 471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.81 : 532.58 = 315.77 : x
  2. Step 2: Convert to fraction form
    356.81/532.58 = 315.77/x
  3. Step 3: Cross multiply
    356.81x = 532.58 × 315.77
  4. Step 4: Simplify right side
    356.81x = 168,168.54
  5. Step 5: Solve for x
    x = 168,168.54/356.81
  6. Step 6: Final answer
    x = 471.32

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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.