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Finding the Fourth Proportional to 275.47, 413.38 and 178.04

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Solution

The fourth proportional to 275.47, 413.38 and 178.04 is: 267.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.47 : 413.38 = 178.04 : x
  2. Step 2: Convert to fraction form
    275.47/413.38 = 178.04/x
  3. Step 3: Cross multiply
    275.47x = 413.38 × 178.04
  4. Step 4: Simplify right side
    275.47x = 73,598.18
  5. Step 5: Solve for x
    x = 73,598.18/275.47
  6. Step 6: Final answer
    x = 267.17

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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.