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Finding the Fourth Proportional to 64.51, 89.01 and 38.31

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Solution

The fourth proportional to 64.51, 89.01 and 38.31 is: 52.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.51 : 89.01 = 38.31 : x
  2. Step 2: Convert to fraction form
    64.51/89.01 = 38.31/x
  3. Step 3: Cross multiply
    64.51x = 89.01 × 38.31
  4. Step 4: Simplify right side
    64.51x = 3,409.69
  5. Step 5: Solve for x
    x = 3,409.69/64.51
  6. Step 6: Final answer
    x = 52.86

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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.