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Finding the Fourth Proportional to 315.32, 472.80 and 153.02

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Solution

The fourth proportional to 315.32, 472.80 and 153.02 is: 229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.32 : 472.80 = 153.02 : x
  2. Step 2: Convert to fraction form
    315.32/472.80 = 153.02/x
  3. Step 3: Cross multiply
    315.32x = 472.80 × 153.02
  4. Step 4: Simplify right side
    315.32x = 72,347.86
  5. Step 5: Solve for x
    x = 72,347.86/315.32
  6. Step 6: Final answer
    x = 229.44

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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.