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Finding the Fourth Proportional to 315.59, 473.28 and 150.89

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Solution

The fourth proportional to 315.59, 473.28 and 150.89 is: 226.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.59 : 473.28 = 150.89 : x
  2. Step 2: Convert to fraction form
    315.59/473.28 = 150.89/x
  3. Step 3: Cross multiply
    315.59x = 473.28 × 150.89
  4. Step 4: Simplify right side
    315.59x = 71,413.22
  5. Step 5: Solve for x
    x = 71,413.22/315.59
  6. Step 6: Final answer
    x = 226.28

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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.