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Finding the Fourth Proportional to 287.92, 430.16 and 278.36

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Solution

The fourth proportional to 287.92, 430.16 and 278.36 is: 415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.92 : 430.16 = 278.36 : x
  2. Step 2: Convert to fraction form
    287.92/430.16 = 278.36/x
  3. Step 3: Cross multiply
    287.92x = 430.16 × 278.36
  4. Step 4: Simplify right side
    287.92x = 119,739.34
  5. Step 5: Solve for x
    x = 119,739.34/287.92
  6. Step 6: Final answer
    x = 415.88

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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.