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Finding the Fourth Proportional to 270.88, 407.04 and 155.50

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Solution

The fourth proportional to 270.88, 407.04 and 155.50 is: 233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.88 : 407.04 = 155.50 : x
  2. Step 2: Convert to fraction form
    270.88/407.04 = 155.50/x
  3. Step 3: Cross multiply
    270.88x = 407.04 × 155.50
  4. Step 4: Simplify right side
    270.88x = 63,294.72
  5. Step 5: Solve for x
    x = 63,294.72/270.88
  6. Step 6: Final answer
    x = 233.66

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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.