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Finding the Fourth Proportional to 65.90, 98.33 and 59.06

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Solution

The fourth proportional to 65.90, 98.33 and 59.06 is: 88.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.90 : 98.33 = 59.06 : x
  2. Step 2: Convert to fraction form
    65.90/98.33 = 59.06/x
  3. Step 3: Cross multiply
    65.90x = 98.33 × 59.06
  4. Step 4: Simplify right side
    65.90x = 5,807.32
  5. Step 5: Solve for x
    x = 5,807.32/65.90
  6. Step 6: Final answer
    x = 88.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.