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Finding the Fourth Proportional to 428.40, 591.14 and 358.29

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Solution

The fourth proportional to 428.40, 591.14 and 358.29 is: 494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.40 : 591.14 = 358.29 : x
  2. Step 2: Convert to fraction form
    428.40/591.14 = 358.29/x
  3. Step 3: Cross multiply
    428.40x = 591.14 × 358.29
  4. Step 4: Simplify right side
    428.40x = 211,799.55
  5. Step 5: Solve for x
    x = 211,799.55/428.40
  6. Step 6: Final answer
    x = 494.40

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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.