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Finding the Fourth Proportional to 476.08, 713.43 and 202.02

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Solution

The fourth proportional to 476.08, 713.43 and 202.02 is: 302.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.08 : 713.43 = 202.02 : x
  2. Step 2: Convert to fraction form
    476.08/713.43 = 202.02/x
  3. Step 3: Cross multiply
    476.08x = 713.43 × 202.02
  4. Step 4: Simplify right side
    476.08x = 144,127.13
  5. Step 5: Solve for x
    x = 144,127.13/476.08
  6. Step 6: Final answer
    x = 302.74

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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.