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Finding the Fourth Proportional to 475.21, 655.80 and 265.40

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Solution

The fourth proportional to 475.21, 655.80 and 265.40 is: 366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.21 : 655.80 = 265.40 : x
  2. Step 2: Convert to fraction form
    475.21/655.80 = 265.40/x
  3. Step 3: Cross multiply
    475.21x = 655.80 × 265.40
  4. Step 4: Simplify right side
    475.21x = 174,047.99
  5. Step 5: Solve for x
    x = 174,047.99/475.21
  6. Step 6: Final answer
    x = 366.25

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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.