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Finding the Fourth Proportional to 354.24, 488.61 and 312.75

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Solution

The fourth proportional to 354.24, 488.61 and 312.75 is: 431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.24 : 488.61 = 312.75 : x
  2. Step 2: Convert to fraction form
    354.24/488.61 = 312.75/x
  3. Step 3: Cross multiply
    354.24x = 488.61 × 312.75
  4. Step 4: Simplify right side
    354.24x = 152,812.78
  5. Step 5: Solve for x
    x = 152,812.78/354.24
  6. Step 6: Final answer
    x = 431.38

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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.