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Finding the Fourth Proportional to 314.25, 432.63 and 293.57

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Solution

The fourth proportional to 314.25, 432.63 and 293.57 is: 404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.25 : 432.63 = 293.57 : x
  2. Step 2: Convert to fraction form
    314.25/432.63 = 293.57/x
  3. Step 3: Cross multiply
    314.25x = 432.63 × 293.57
  4. Step 4: Simplify right side
    314.25x = 127,005.03
  5. Step 5: Solve for x
    x = 127,005.03/314.25
  6. Step 6: Final answer
    x = 404.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.