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Finding the Fourth Proportional to 448.61, 672.13 and 311.74

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Solution

The fourth proportional to 448.61, 672.13 and 311.74 is: 467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.61 : 672.13 = 311.74 : x
  2. Step 2: Convert to fraction form
    448.61/672.13 = 311.74/x
  3. Step 3: Cross multiply
    448.61x = 672.13 × 311.74
  4. Step 4: Simplify right side
    448.61x = 209,529.81
  5. Step 5: Solve for x
    x = 209,529.81/448.61
  6. Step 6: Final answer
    x = 467.06

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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.