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Finding the Fourth Proportional to 314.52, 431.40 and 288.60

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Solution

The fourth proportional to 314.52, 431.40 and 288.60 is: 395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.52 : 431.40 = 288.60 : x
  2. Step 2: Convert to fraction form
    314.52/431.40 = 288.60/x
  3. Step 3: Cross multiply
    314.52x = 431.40 × 288.60
  4. Step 4: Simplify right side
    314.52x = 124,502.04
  5. Step 5: Solve for x
    x = 124,502.04/314.52
  6. Step 6: Final answer
    x = 395.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.