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Finding the Fourth Proportional to 56.88, 85.32 and 46.08

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Solution

The fourth proportional to 56.88, 85.32 and 46.08 is: 69.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.88 : 85.32 = 46.08 : x
  2. Step 2: Convert to fraction form
    56.88/85.32 = 46.08/x
  3. Step 3: Cross multiply
    56.88x = 85.32 × 46.08
  4. Step 4: Simplify right side
    56.88x = 3,931.55
  5. Step 5: Solve for x
    x = 3,931.55/56.88
  6. Step 6: Final answer
    x = 69.12

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Why These Related Problems?

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