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Finding the Fourth Proportional to 58.12, 80.40 and 48.40

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Solution

The fourth proportional to 58.12, 80.40 and 48.40 is: 66.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.12 : 80.40 = 48.40 : x
  2. Step 2: Convert to fraction form
    58.12/80.40 = 48.40/x
  3. Step 3: Cross multiply
    58.12x = 80.40 × 48.40
  4. Step 4: Simplify right side
    58.12x = 3,891.36
  5. Step 5: Solve for x
    x = 3,891.36/58.12
  6. Step 6: Final answer
    x = 66.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.