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Finding the Fourth Proportional to 473.76, 653.64 and 277.23

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Solution

The fourth proportional to 473.76, 653.64 and 277.23 is: 382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.76 : 653.64 = 277.23 : x
  2. Step 2: Convert to fraction form
    473.76/653.64 = 277.23/x
  3. Step 3: Cross multiply
    473.76x = 653.64 × 277.23
  4. Step 4: Simplify right side
    473.76x = 181,208.62
  5. Step 5: Solve for x
    x = 181,208.62/473.76
  6. Step 6: Final answer
    x = 382.49

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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.