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Finding the Fourth Proportional to 101.04, 139.45 and 64.24

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Solution

The fourth proportional to 101.04, 139.45 and 64.24 is: 88.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.04 : 139.45 = 64.24 : x
  2. Step 2: Convert to fraction form
    101.04/139.45 = 64.24/x
  3. Step 3: Cross multiply
    101.04x = 139.45 × 64.24
  4. Step 4: Simplify right side
    101.04x = 8,957.88
  5. Step 5: Solve for x
    x = 8,957.88/101.04
  6. Step 6: Final answer
    x = 88.66

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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.