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Finding the Fourth Proportional to 334.68, 458.40 and 318.24

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Solution

The fourth proportional to 334.68, 458.40 and 318.24 is: 435.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.68 : 458.40 = 318.24 : x
  2. Step 2: Convert to fraction form
    334.68/458.40 = 318.24/x
  3. Step 3: Cross multiply
    334.68x = 458.40 × 318.24
  4. Step 4: Simplify right side
    334.68x = 145,881.22
  5. Step 5: Solve for x
    x = 145,881.22/334.68
  6. Step 6: Final answer
    x = 435.88

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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.