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Finding the Fourth Proportional to 264.72, 394.53 and 264.32

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Solution

The fourth proportional to 264.72, 394.53 and 264.32 is: 393.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.72 : 394.53 = 264.32 : x
  2. Step 2: Convert to fraction form
    264.72/394.53 = 264.32/x
  3. Step 3: Cross multiply
    264.72x = 394.53 × 264.32
  4. Step 4: Simplify right side
    264.72x = 104,280.20
  5. Step 5: Solve for x
    x = 104,280.20/264.72
  6. Step 6: Final answer
    x = 393.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.