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Finding the Fourth Proportional to 281.94, 420.78 and 258.72

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Solution

The fourth proportional to 281.94, 420.78 and 258.72 is: 386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.94 : 420.78 = 258.72 : x
  2. Step 2: Convert to fraction form
    281.94/420.78 = 258.72/x
  3. Step 3: Cross multiply
    281.94x = 420.78 × 258.72
  4. Step 4: Simplify right side
    281.94x = 108,864.20
  5. Step 5: Solve for x
    x = 108,864.20/281.94
  6. Step 6: Final answer
    x = 386.13

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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.