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Finding the Fourth Proportional to 64.00, 88.31 and 42.20

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Solution

The fourth proportional to 64.00, 88.31 and 42.20 is: 58.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.00 : 88.31 = 42.20 : x
  2. Step 2: Convert to fraction form
    64.00/88.31 = 42.20/x
  3. Step 3: Cross multiply
    64.00x = 88.31 × 42.20
  4. Step 4: Simplify right side
    64.00x = 3,726.35
  5. Step 5: Solve for x
    x = 3,726.35/64.00
  6. Step 6: Final answer
    x = 58.23

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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.