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Finding the Fourth Proportional to 318.04, 473.63 and 309.88

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Solution

The fourth proportional to 318.04, 473.63 and 309.88 is: 461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.04 : 473.63 = 309.88 : x
  2. Step 2: Convert to fraction form
    318.04/473.63 = 309.88/x
  3. Step 3: Cross multiply
    318.04x = 473.63 × 309.88
  4. Step 4: Simplify right side
    318.04x = 146,768.46
  5. Step 5: Solve for x
    x = 146,768.46/318.04
  6. Step 6: Final answer
    x = 461.48

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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.