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Finding the Fourth Proportional to 292.83, 438.33 and 205.75

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Solution

The fourth proportional to 292.83, 438.33 and 205.75 is: 307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.83 : 438.33 = 205.75 : x
  2. Step 2: Convert to fraction form
    292.83/438.33 = 205.75/x
  3. Step 3: Cross multiply
    292.83x = 438.33 × 205.75
  4. Step 4: Simplify right side
    292.83x = 90,186.40
  5. Step 5: Solve for x
    x = 90,186.40/292.83
  6. Step 6: Final answer
    x = 307.98

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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.