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Finding the Fourth Proportional to 500.25, 690.35 and 303.76

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Solution

The fourth proportional to 500.25, 690.35 and 303.76 is: 419.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.25 : 690.35 = 303.76 : x
  2. Step 2: Convert to fraction form
    500.25/690.35 = 303.76/x
  3. Step 3: Cross multiply
    500.25x = 690.35 × 303.76
  4. Step 4: Simplify right side
    500.25x = 209,700.72
  5. Step 5: Solve for x
    x = 209,700.72/500.25
  6. Step 6: Final answer
    x = 419.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.