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Finding the Fourth Proportional to 261.65, 389.73 and 258.45

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Solution

The fourth proportional to 261.65, 389.73 and 258.45 is: 384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.65 : 389.73 = 258.45 : x
  2. Step 2: Convert to fraction form
    261.65/389.73 = 258.45/x
  3. Step 3: Cross multiply
    261.65x = 389.73 × 258.45
  4. Step 4: Simplify right side
    261.65x = 100,725.72
  5. Step 5: Solve for x
    x = 100,725.72/261.65
  6. Step 6: Final answer
    x = 384.97

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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.