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Finding the Fourth Proportional to 472.18, 651.12 and 306.40

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Solution

The fourth proportional to 472.18, 651.12 and 306.40 is: 422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.18 : 651.12 = 306.40 : x
  2. Step 2: Convert to fraction form
    472.18/651.12 = 306.40/x
  3. Step 3: Cross multiply
    472.18x = 651.12 × 306.40
  4. Step 4: Simplify right side
    472.18x = 199,503.17
  5. Step 5: Solve for x
    x = 199,503.17/472.18
  6. Step 6: Final answer
    x = 422.52

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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.