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Finding the Fourth Proportional to 469.49, 647.90 and 273.02

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Solution

The fourth proportional to 469.49, 647.90 and 273.02 is: 376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.49 : 647.90 = 273.02 : x
  2. Step 2: Convert to fraction form
    469.49/647.90 = 273.02/x
  3. Step 3: Cross multiply
    469.49x = 647.90 × 273.02
  4. Step 4: Simplify right side
    469.49x = 176,886.08
  5. Step 5: Solve for x
    x = 176,886.08/469.49
  6. Step 6: Final answer
    x = 376.77

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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.