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Finding the Fourth Proportional to 315.93, 473.84 and 84.82

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Solution

The fourth proportional to 315.93, 473.84 and 84.82 is: 127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.93 : 473.84 = 84.82 : x
  2. Step 2: Convert to fraction form
    315.93/473.84 = 84.82/x
  3. Step 3: Cross multiply
    315.93x = 473.84 × 84.82
  4. Step 4: Simplify right side
    315.93x = 40,191.11
  5. Step 5: Solve for x
    x = 40,191.11/315.93
  6. Step 6: Final answer
    x = 127.22

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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.