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Finding the Fourth Proportional to 370.90, 555.31 and 288.55

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Solution

The fourth proportional to 370.90, 555.31 and 288.55 is: 432.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.90 : 555.31 = 288.55 : x
  2. Step 2: Convert to fraction form
    370.90/555.31 = 288.55/x
  3. Step 3: Cross multiply
    370.90x = 555.31 × 288.55
  4. Step 4: Simplify right side
    370.90x = 160,230.48
  5. Step 5: Solve for x
    x = 160,230.48/370.90
  6. Step 6: Final answer
    x = 432.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.