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Finding the Fourth Proportional to 330.99, 497.25 and 312.54

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Solution

The fourth proportional to 330.99, 497.25 and 312.54 is: 469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.99 : 497.25 = 312.54 : x
  2. Step 2: Convert to fraction form
    330.99/497.25 = 312.54/x
  3. Step 3: Cross multiply
    330.99x = 497.25 × 312.54
  4. Step 4: Simplify right side
    330.99x = 155,410.52
  5. Step 5: Solve for x
    x = 155,410.52/330.99
  6. Step 6: Final answer
    x = 469.53

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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.