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Finding the Fourth Proportional to 458.94, 688.68 and 253.56

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Solution

The fourth proportional to 458.94, 688.68 and 253.56 is: 380.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.94 : 688.68 = 253.56 : x
  2. Step 2: Convert to fraction form
    458.94/688.68 = 253.56/x
  3. Step 3: Cross multiply
    458.94x = 688.68 × 253.56
  4. Step 4: Simplify right side
    458.94x = 174,621.70
  5. Step 5: Solve for x
    x = 174,621.70/458.94
  6. Step 6: Final answer
    x = 380.49

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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.