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Finding the Fourth Proportional to 64.19, 88.59 and 38.31

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Solution

The fourth proportional to 64.19, 88.59 and 38.31 is: 52.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.19 : 88.59 = 38.31 : x
  2. Step 2: Convert to fraction form
    64.19/88.59 = 38.31/x
  3. Step 3: Cross multiply
    64.19x = 88.59 × 38.31
  4. Step 4: Simplify right side
    64.19x = 3,393.88
  5. Step 5: Solve for x
    x = 3,393.88/64.19
  6. Step 6: Final answer
    x = 52.87

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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.