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Finding the Fourth Proportional to 261.48, 358.83 and 233.64

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Solution

The fourth proportional to 261.48, 358.83 and 233.64 is: 320.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.48 : 358.83 = 233.64 : x
  2. Step 2: Convert to fraction form
    261.48/358.83 = 233.64/x
  3. Step 3: Cross multiply
    261.48x = 358.83 × 233.64
  4. Step 4: Simplify right side
    261.48x = 83,837.04
  5. Step 5: Solve for x
    x = 83,837.04/261.48
  6. Step 6: Final answer
    x = 320.63

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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.