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Finding the Fourth Proportional to 341.52, 512.40 and 286.80

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Solution

The fourth proportional to 341.52, 512.40 and 286.80 is: 430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.52 : 512.40 = 286.80 : x
  2. Step 2: Convert to fraction form
    341.52/512.40 = 286.80/x
  3. Step 3: Cross multiply
    341.52x = 512.40 × 286.80
  4. Step 4: Simplify right side
    341.52x = 146,956.32
  5. Step 5: Solve for x
    x = 146,956.32/341.52
  6. Step 6: Final answer
    x = 430.30

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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.