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Finding the Fourth Proportional to 473.95, 653.98 and 277.42

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Solution

The fourth proportional to 473.95, 653.98 and 277.42 is: 382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.95 : 653.98 = 277.42 : x
  2. Step 2: Convert to fraction form
    473.95/653.98 = 277.42/x
  3. Step 3: Cross multiply
    473.95x = 653.98 × 277.42
  4. Step 4: Simplify right side
    473.95x = 181,427.13
  5. Step 5: Solve for x
    x = 181,427.13/473.95
  6. Step 6: Final answer
    x = 382.80

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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.