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Finding the Fourth Proportional to 472.40, 651.50 and 306.55

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Solution

The fourth proportional to 472.40, 651.50 and 306.55 is: 422.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.40 : 651.50 = 306.55 : x
  2. Step 2: Convert to fraction form
    472.40/651.50 = 306.55/x
  3. Step 3: Cross multiply
    472.40x = 651.50 × 306.55
  4. Step 4: Simplify right side
    472.40x = 199,717.76
  5. Step 5: Solve for x
    x = 199,717.76/472.40
  6. Step 6: Final answer
    x = 422.77

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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.