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Finding the Fourth Proportional to 264.19, 362.31 and 261.15

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Solution

The fourth proportional to 264.19, 362.31 and 261.15 is: 358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.19 : 362.31 = 261.15 : x
  2. Step 2: Convert to fraction form
    264.19/362.31 = 261.15/x
  3. Step 3: Cross multiply
    264.19x = 362.31 × 261.15
  4. Step 4: Simplify right side
    264.19x = 94,617.64
  5. Step 5: Solve for x
    x = 94,617.64/264.19
  6. Step 6: Final answer
    x = 358.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.