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Finding the Fourth Proportional to 458.40, 686.16 and 342.18

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Solution

The fourth proportional to 458.40, 686.16 and 342.18 is: 512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.40 : 686.16 = 342.18 : x
  2. Step 2: Convert to fraction form
    458.40/686.16 = 342.18/x
  3. Step 3: Cross multiply
    458.40x = 686.16 × 342.18
  4. Step 4: Simplify right side
    458.40x = 234,790.23
  5. Step 5: Solve for x
    x = 234,790.23/458.40
  6. Step 6: Final answer
    x = 512.20

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1.5x scale

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.