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Finding the Fourth Proportional to 292.51, 438.92 and 285.22

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Solution

The fourth proportional to 292.51, 438.92 and 285.22 is: 427.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.51 : 438.92 = 285.22 : x
  2. Step 2: Convert to fraction form
    292.51/438.92 = 285.22/x
  3. Step 3: Cross multiply
    292.51x = 438.92 × 285.22
  4. Step 4: Simplify right side
    292.51x = 125,188.95
  5. Step 5: Solve for x
    x = 125,188.95/292.51
  6. Step 6: Final answer
    x = 427.98

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