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Finding the Fourth Proportional to 458.42, 686.67 and 202.10

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Solution

The fourth proportional to 458.42, 686.67 and 202.10 is: 302.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.42 : 686.67 = 202.10 : x
  2. Step 2: Convert to fraction form
    458.42/686.67 = 202.10/x
  3. Step 3: Cross multiply
    458.42x = 686.67 × 202.10
  4. Step 4: Simplify right side
    458.42x = 138,776.01
  5. Step 5: Solve for x
    x = 138,776.01/458.42
  6. Step 6: Final answer
    x = 302.73

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