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Finding the Fourth Proportional to 473.75, 653.78 and 266.75

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Solution

The fourth proportional to 473.75, 653.78 and 266.75 is: 368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.75 : 653.78 = 266.75 : x
  2. Step 2: Convert to fraction form
    473.75/653.78 = 266.75/x
  3. Step 3: Cross multiply
    473.75x = 653.78 × 266.75
  4. Step 4: Simplify right side
    473.75x = 174,395.82
  5. Step 5: Solve for x
    x = 174,395.82/473.75
  6. Step 6: Final answer
    x = 368.12

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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.