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Finding the Fourth Proportional to 72.49, 100.02 and 53.11

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Solution

The fourth proportional to 72.49, 100.02 and 53.11 is: 73.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.49 : 100.02 = 53.11 : x
  2. Step 2: Convert to fraction form
    72.49/100.02 = 53.11/x
  3. Step 3: Cross multiply
    72.49x = 100.02 × 53.11
  4. Step 4: Simplify right side
    72.49x = 5,312.06
  5. Step 5: Solve for x
    x = 5,312.06/72.49
  6. Step 6: Final answer
    x = 73.28

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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.