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Finding the Fourth Proportional to 387.10, 533.68 and 288.55

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Solution

The fourth proportional to 387.10, 533.68 and 288.55 is: 397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.10 : 533.68 = 288.55 : x
  2. Step 2: Convert to fraction form
    387.10/533.68 = 288.55/x
  3. Step 3: Cross multiply
    387.10x = 533.68 × 288.55
  4. Step 4: Simplify right side
    387.10x = 153,993.36
  5. Step 5: Solve for x
    x = 153,993.36/387.10
  6. Step 6: Final answer
    x = 397.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.