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Finding the Fourth Proportional to 288.70, 434.98 and 261.32

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Solution

The fourth proportional to 288.70, 434.98 and 261.32 is: 393.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.70 : 434.98 = 261.32 : x
  2. Step 2: Convert to fraction form
    288.70/434.98 = 261.32/x
  3. Step 3: Cross multiply
    288.70x = 434.98 × 261.32
  4. Step 4: Simplify right side
    288.70x = 113,666.80
  5. Step 5: Solve for x
    x = 113,666.80/288.70
  6. Step 6: Final answer
    x = 393.72

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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.