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Finding the Fourth Proportional to 264.90, 360.75 and 263.28

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Solution

The fourth proportional to 264.90, 360.75 and 263.28 is: 358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.90 : 360.75 = 263.28 : x
  2. Step 2: Convert to fraction form
    264.90/360.75 = 263.28/x
  3. Step 3: Cross multiply
    264.90x = 360.75 × 263.28
  4. Step 4: Simplify right side
    264.90x = 94,978.26
  5. Step 5: Solve for x
    x = 94,978.26/264.90
  6. Step 6: Final answer
    x = 358.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.