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Finding the Fourth Proportional to 64.05, 88.14 and 52.35

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Solution

The fourth proportional to 64.05, 88.14 and 52.35 is: 72.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.05 : 88.14 = 52.35 : x
  2. Step 2: Convert to fraction form
    64.05/88.14 = 52.35/x
  3. Step 3: Cross multiply
    64.05x = 88.14 × 52.35
  4. Step 4: Simplify right side
    64.05x = 4,614.13
  5. Step 5: Solve for x
    x = 4,614.13/64.05
  6. Step 6: Final answer
    x = 72.04

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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.