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Finding the Fourth Proportional to 318.72, 475.80 and 297.45

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Solution

The fourth proportional to 318.72, 475.80 and 297.45 is: 444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.72 : 475.80 = 297.45 : x
  2. Step 2: Convert to fraction form
    318.72/475.80 = 297.45/x
  3. Step 3: Cross multiply
    318.72x = 475.80 × 297.45
  4. Step 4: Simplify right side
    318.72x = 141,526.71
  5. Step 5: Solve for x
    x = 141,526.71/318.72
  6. Step 6: Final answer
    x = 444.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.