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Finding the Fourth Proportional to 330.78, 456.76 and 313.58

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Solution

The fourth proportional to 330.78, 456.76 and 313.58 is: 433.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.78 : 456.76 = 313.58 : x
  2. Step 2: Convert to fraction form
    330.78/456.76 = 313.58/x
  3. Step 3: Cross multiply
    330.78x = 456.76 × 313.58
  4. Step 4: Simplify right side
    330.78x = 143,233.86
  5. Step 5: Solve for x
    x = 143,233.86/330.78
  6. Step 6: Final answer
    x = 433.01

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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.