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Finding the Fourth Proportional to 48.65, 72.54 and 42.59

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Solution

The fourth proportional to 48.65, 72.54 and 42.59 is: 63.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.65 : 72.54 = 42.59 : x
  2. Step 2: Convert to fraction form
    48.65/72.54 = 42.59/x
  3. Step 3: Cross multiply
    48.65x = 72.54 × 42.59
  4. Step 4: Simplify right side
    48.65x = 3,089.48
  5. Step 5: Solve for x
    x = 3,089.48/48.65
  6. Step 6: Final answer
    x = 63.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.