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Finding the Fourth Proportional to 292.62, 438.93 and 258.06

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Solution

The fourth proportional to 292.62, 438.93 and 258.06 is: 387.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.62 : 438.93 = 258.06 : x
  2. Step 2: Convert to fraction form
    292.62/438.93 = 258.06/x
  3. Step 3: Cross multiply
    292.62x = 438.93 × 258.06
  4. Step 4: Simplify right side
    292.62x = 113,270.28
  5. Step 5: Solve for x
    x = 113,270.28/292.62
  6. Step 6: Final answer
    x = 387.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.