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Finding the Fourth Proportional to 288.95, 434.99 and 263.84

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Solution

The fourth proportional to 288.95, 434.99 and 263.84 is: 397.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.95 : 434.99 = 263.84 : x
  2. Step 2: Convert to fraction form
    288.95/434.99 = 263.84/x
  3. Step 3: Cross multiply
    288.95x = 434.99 × 263.84
  4. Step 4: Simplify right side
    288.95x = 114,767.70
  5. Step 5: Solve for x
    x = 114,767.70/288.95
  6. Step 6: Final answer
    x = 397.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.