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Finding the Fourth Proportional to 333.02, 456.88 and 316.28

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Solution

The fourth proportional to 333.02, 456.88 and 316.28 is: 433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.02 : 456.88 = 316.28 : x
  2. Step 2: Convert to fraction form
    333.02/456.88 = 316.28/x
  3. Step 3: Cross multiply
    333.02x = 456.88 × 316.28
  4. Step 4: Simplify right side
    333.02x = 144,502.01
  5. Step 5: Solve for x
    x = 144,502.01/333.02
  6. Step 6: Final answer
    x = 433.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.