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Finding the Fourth Proportional to 307.76, 463.18 and 231.12

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Solution

The fourth proportional to 307.76, 463.18 and 231.12 is: 347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.76 : 463.18 = 231.12 : x
  2. Step 2: Convert to fraction form
    307.76/463.18 = 231.12/x
  3. Step 3: Cross multiply
    307.76x = 463.18 × 231.12
  4. Step 4: Simplify right side
    307.76x = 107,050.16
  5. Step 5: Solve for x
    x = 107,050.16/307.76
  6. Step 6: Final answer
    x = 347.84

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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.