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Finding the Fourth Proportional to 476.84, 715.28 and 147.86

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Solution

The fourth proportional to 476.84, 715.28 and 147.86 is: 221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.84 : 715.28 = 147.86 : x
  2. Step 2: Convert to fraction form
    476.84/715.28 = 147.86/x
  3. Step 3: Cross multiply
    476.84x = 715.28 × 147.86
  4. Step 4: Simplify right side
    476.84x = 105,764.52
  5. Step 5: Solve for x
    x = 105,764.52/476.84
  6. Step 6: Final answer
    x = 221.80

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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.