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Finding the Fourth Proportional to 476.50, 714.26 and 202.76

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Solution

The fourth proportional to 476.50, 714.26 and 202.76 is: 303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.50 : 714.26 = 202.76 : x
  2. Step 2: Convert to fraction form
    476.50/714.26 = 202.76/x
  3. Step 3: Cross multiply
    476.50x = 714.26 × 202.76
  4. Step 4: Simplify right side
    476.50x = 144,823.36
  5. Step 5: Solve for x
    x = 144,823.36/476.50
  6. Step 6: Final answer
    x = 303.93

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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.