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Finding the Fourth Proportional to 56.40, 83.52 and 56.40

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Solution

The fourth proportional to 56.40, 83.52 and 56.40 is: 83.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.40 : 83.52 = 56.40 : x
  2. Step 2: Convert to fraction form
    56.40/83.52 = 56.40/x
  3. Step 3: Cross multiply
    56.40x = 83.52 × 56.40
  4. Step 4: Simplify right side
    56.40x = 4,710.53
  5. Step 5: Solve for x
    x = 4,710.53/56.40
  6. Step 6: Final answer
    x = 83.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.