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Finding the Fourth Proportional to 292.56, 438.23 and 284.06

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Solution

The fourth proportional to 292.56, 438.23 and 284.06 is: 425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.56 : 438.23 = 284.06 : x
  2. Step 2: Convert to fraction form
    292.56/438.23 = 284.06/x
  3. Step 3: Cross multiply
    292.56x = 438.23 × 284.06
  4. Step 4: Simplify right side
    292.56x = 124,480.00
  5. Step 5: Solve for x
    x = 124,480.00/292.56
  6. Step 6: Final answer
    x = 425.49

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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.