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Finding the Fourth Proportional to 290.75, 433.53 and 284.87

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Solution

The fourth proportional to 290.75, 433.53 and 284.87 is: 424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.75 : 433.53 = 284.87 : x
  2. Step 2: Convert to fraction form
    290.75/433.53 = 284.87/x
  3. Step 3: Cross multiply
    290.75x = 433.53 × 284.87
  4. Step 4: Simplify right side
    290.75x = 123,500.77
  5. Step 5: Solve for x
    x = 123,500.77/290.75
  6. Step 6: Final answer
    x = 424.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.