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Finding the Fourth Proportional to 655.10, 982.40 and 265.00

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Solution

The fourth proportional to 655.10, 982.40 and 265.00 is: 397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.10 : 982.40 = 265.00 : x
  2. Step 2: Convert to fraction form
    655.10/982.40 = 265.00/x
  3. Step 3: Cross multiply
    655.10x = 982.40 × 265.00
  4. Step 4: Simplify right side
    655.10x = 260,339.24
  5. Step 5: Solve for x
    x = 260,339.24/655.10
  6. Step 6: Final answer
    x = 397.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.