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Finding the Fourth Proportional to 74.07, 101.98 and 64.21

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Solution

The fourth proportional to 74.07, 101.98 and 64.21 is: 88.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.07 : 101.98 = 64.21 : x
  2. Step 2: Convert to fraction form
    74.07/101.98 = 64.21/x
  3. Step 3: Cross multiply
    74.07x = 101.98 × 64.21
  4. Step 4: Simplify right side
    74.07x = 6,548.87
  5. Step 5: Solve for x
    x = 6,548.87/74.07
  6. Step 6: Final answer
    x = 88.42

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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.