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Finding the Fourth Proportional to 427.98, 591.24 and 288.05

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Solution

The fourth proportional to 427.98, 591.24 and 288.05 is: 397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.98 : 591.24 = 288.05 : x
  2. Step 2: Convert to fraction form
    427.98/591.24 = 288.05/x
  3. Step 3: Cross multiply
    427.98x = 591.24 × 288.05
  4. Step 4: Simplify right side
    427.98x = 170,303.73
  5. Step 5: Solve for x
    x = 170,303.73/427.98
  6. Step 6: Final answer
    x = 397.92

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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.