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Finding the Fourth Proportional to 287.35, 430.53 and 258.82

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Solution

The fourth proportional to 287.35, 430.53 and 258.82 is: 387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.35 : 430.53 = 258.82 : x
  2. Step 2: Convert to fraction form
    287.35/430.53 = 258.82/x
  3. Step 3: Cross multiply
    287.35x = 430.53 × 258.82
  4. Step 4: Simplify right side
    287.35x = 111,429.77
  5. Step 5: Solve for x
    x = 111,429.77/287.35
  6. Step 6: Final answer
    x = 387.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.