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Finding the Fourth Proportional to 315.14, 469.92 and 293.22

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Solution

The fourth proportional to 315.14, 469.92 and 293.22 is: 437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.14 : 469.92 = 293.22 : x
  2. Step 2: Convert to fraction form
    315.14/469.92 = 293.22/x
  3. Step 3: Cross multiply
    315.14x = 469.92 × 293.22
  4. Step 4: Simplify right side
    315.14x = 137,791.04
  5. Step 5: Solve for x
    x = 137,791.04/315.14
  6. Step 6: Final answer
    x = 437.24

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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.