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Finding the Fourth Proportional to 288.41, 430.52 and 267.00

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Solution

The fourth proportional to 288.41, 430.52 and 267.00 is: 398.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.41 : 430.52 = 267.00 : x
  2. Step 2: Convert to fraction form
    288.41/430.52 = 267.00/x
  3. Step 3: Cross multiply
    288.41x = 430.52 × 267.00
  4. Step 4: Simplify right side
    288.41x = 114,946.69
  5. Step 5: Solve for x
    x = 114,946.69/288.41
  6. Step 6: Final answer
    x = 398.56

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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.