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Finding the Fourth Proportional to 288.85, 430.87 and 261.17

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Solution

The fourth proportional to 288.85, 430.87 and 261.17 is: 389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.85 : 430.87 = 261.17 : x
  2. Step 2: Convert to fraction form
    288.85/430.87 = 261.17/x
  3. Step 3: Cross multiply
    288.85x = 430.87 × 261.17
  4. Step 4: Simplify right side
    288.85x = 112,530.32
  5. Step 5: Solve for x
    x = 112,530.32/288.85
  6. Step 6: Final answer
    x = 389.58

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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.