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Finding the Fourth Proportional to 476.60, 714.02 and 245.12

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Solution

The fourth proportional to 476.60, 714.02 and 245.12 is: 367.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.60 : 714.02 = 245.12 : x
  2. Step 2: Convert to fraction form
    476.60/714.02 = 245.12/x
  3. Step 3: Cross multiply
    476.60x = 714.02 × 245.12
  4. Step 4: Simplify right side
    476.60x = 175,015.79
  5. Step 5: Solve for x
    x = 175,015.79/476.60
  6. Step 6: Final answer
    x = 367.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.