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Finding the Fourth Proportional to 350.64, 482.76 and 314.88

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Solution

The fourth proportional to 350.64, 482.76 and 314.88 is: 433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.64 : 482.76 = 314.88 : x
  2. Step 2: Convert to fraction form
    350.64/482.76 = 314.88/x
  3. Step 3: Cross multiply
    350.64x = 482.76 × 314.88
  4. Step 4: Simplify right side
    350.64x = 152,011.47
  5. Step 5: Solve for x
    x = 152,011.47/350.64
  6. Step 6: Final answer
    x = 433.53

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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.