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Finding the Fourth Proportional to 317.85, 479.65 and 306.98

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Solution

The fourth proportional to 317.85, 479.65 and 306.98 is: 463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.85 : 479.65 = 306.98 : x
  2. Step 2: Convert to fraction form
    317.85/479.65 = 306.98/x
  3. Step 3: Cross multiply
    317.85x = 479.65 × 306.98
  4. Step 4: Simplify right side
    317.85x = 147,242.96
  5. Step 5: Solve for x
    x = 147,242.96/317.85
  6. Step 6: Final answer
    x = 463.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.