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Finding the Fourth Proportional to 476.40, 714.60 and 202.42

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Solution

The fourth proportional to 476.40, 714.60 and 202.42 is: 303.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.40 : 714.60 = 202.42 : x
  2. Step 2: Convert to fraction form
    476.40/714.60 = 202.42/x
  3. Step 3: Cross multiply
    476.40x = 714.60 × 202.42
  4. Step 4: Simplify right side
    476.40x = 144,649.33
  5. Step 5: Solve for x
    x = 144,649.33/476.40
  6. Step 6: Final answer
    x = 303.63

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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.