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Finding the Fourth Proportional to 318.58, 480.74 and 307.14

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Solution

The fourth proportional to 318.58, 480.74 and 307.14 is: 463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.58 : 480.74 = 307.14 : x
  2. Step 2: Convert to fraction form
    318.58/480.74 = 307.14/x
  3. Step 3: Cross multiply
    318.58x = 480.74 × 307.14
  4. Step 4: Simplify right side
    318.58x = 147,656.44
  5. Step 5: Solve for x
    x = 147,656.44/318.58
  6. Step 6: Final answer
    x = 463.48

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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.