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Finding the Fourth Proportional to 315.62, 473.43 and 84.51

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Solution

The fourth proportional to 315.62, 473.43 and 84.51 is: 126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.62 : 473.43 = 84.51 : x
  2. Step 2: Convert to fraction form
    315.62/473.43 = 84.51/x
  3. Step 3: Cross multiply
    315.62x = 473.43 × 84.51
  4. Step 4: Simplify right side
    315.62x = 40,009.57
  5. Step 5: Solve for x
    x = 40,009.57/315.62
  6. Step 6: Final answer
    x = 126.77

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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.