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Finding the Fourth Proportional to 86.88, 130.41 and 56.46

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Solution

The fourth proportional to 86.88, 130.41 and 56.46 is: 84.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.88 : 130.41 = 56.46 : x
  2. Step 2: Convert to fraction form
    86.88/130.41 = 56.46/x
  3. Step 3: Cross multiply
    86.88x = 130.41 × 56.46
  4. Step 4: Simplify right side
    86.88x = 7,362.95
  5. Step 5: Solve for x
    x = 7,362.95/86.88
  6. Step 6: Final answer
    x = 84.75

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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.