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Finding the Fourth Proportional to 99.70, 149.28 and 51.51

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Solution

The fourth proportional to 99.70, 149.28 and 51.51 is: 77.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.70 : 149.28 = 51.51 : x
  2. Step 2: Convert to fraction form
    99.70/149.28 = 51.51/x
  3. Step 3: Cross multiply
    99.70x = 149.28 × 51.51
  4. Step 4: Simplify right side
    99.70x = 7,689.41
  5. Step 5: Solve for x
    x = 7,689.41/99.70
  6. Step 6: Final answer
    x = 77.13

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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.