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Finding the Fourth Proportional to 287.15, 432.84 and 270.42

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Solution

The fourth proportional to 287.15, 432.84 and 270.42 is: 407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.15 : 432.84 = 270.42 : x
  2. Step 2: Convert to fraction form
    287.15/432.84 = 270.42/x
  3. Step 3: Cross multiply
    287.15x = 432.84 × 270.42
  4. Step 4: Simplify right side
    287.15x = 117,048.90
  5. Step 5: Solve for x
    x = 117,048.90/287.15
  6. Step 6: Final answer
    x = 407.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.