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Finding the Fourth Proportional to 102.02, 153.23 and 87.60

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Solution

The fourth proportional to 102.02, 153.23 and 87.60 is: 131.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.02 : 153.23 = 87.60 : x
  2. Step 2: Convert to fraction form
    102.02/153.23 = 87.60/x
  3. Step 3: Cross multiply
    102.02x = 153.23 × 87.60
  4. Step 4: Simplify right side
    102.02x = 13,422.95
  5. Step 5: Solve for x
    x = 13,422.95/102.02
  6. Step 6: Final answer
    x = 131.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.