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Finding the Fourth Proportional to 289.56, 434.04 and 152.31

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Solution

The fourth proportional to 289.56, 434.04 and 152.31 is: 228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.56 : 434.04 = 152.31 : x
  2. Step 2: Convert to fraction form
    289.56/434.04 = 152.31/x
  3. Step 3: Cross multiply
    289.56x = 434.04 × 152.31
  4. Step 4: Simplify right side
    289.56x = 66,108.63
  5. Step 5: Solve for x
    x = 66,108.63/289.56
  6. Step 6: Final answer
    x = 228.31

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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.