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Finding the Fourth Proportional to 288.90, 431.13 and 258.14

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Solution

The fourth proportional to 288.90, 431.13 and 258.14 is: 385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.90 : 431.13 = 258.14 : x
  2. Step 2: Convert to fraction form
    288.90/431.13 = 258.14/x
  3. Step 3: Cross multiply
    288.90x = 431.13 × 258.14
  4. Step 4: Simplify right side
    288.90x = 111,291.90
  5. Step 5: Solve for x
    x = 111,291.90/288.90
  6. Step 6: Final answer
    x = 385.23

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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.