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Finding the Fourth Proportional to 291.61, 436.78 and 137.30

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Solution

The fourth proportional to 291.61, 436.78 and 137.30 is: 205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.61 : 436.78 = 137.30 : x
  2. Step 2: Convert to fraction form
    291.61/436.78 = 137.30/x
  3. Step 3: Cross multiply
    291.61x = 436.78 × 137.30
  4. Step 4: Simplify right side
    291.61x = 59,971.16
  5. Step 5: Solve for x
    x = 59,971.16/291.61
  6. Step 6: Final answer
    x = 205.66

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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.