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Finding the Fourth Proportional to 292.61, 436.08 and 273.48

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Solution

The fourth proportional to 292.61, 436.08 and 273.48 is: 407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.61 : 436.08 = 273.48 : x
  2. Step 2: Convert to fraction form
    292.61/436.08 = 273.48/x
  3. Step 3: Cross multiply
    292.61x = 436.08 × 273.48
  4. Step 4: Simplify right side
    292.61x = 119,258.55
  5. Step 5: Solve for x
    x = 119,258.55/292.61
  6. Step 6: Final answer
    x = 407.56

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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.