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Finding the Fourth Proportional to 410.60, 616.80 and 303.08

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Solution

The fourth proportional to 410.60, 616.80 and 303.08 is: 455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.60 : 616.80 = 303.08 : x
  2. Step 2: Convert to fraction form
    410.60/616.80 = 303.08/x
  3. Step 3: Cross multiply
    410.60x = 616.80 × 303.08
  4. Step 4: Simplify right side
    410.60x = 186,939.74
  5. Step 5: Solve for x
    x = 186,939.74/410.60
  6. Step 6: Final answer
    x = 455.28

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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.