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Finding the Fourth Proportional to 289.59, 433.53 and 152.34

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Solution

The fourth proportional to 289.59, 433.53 and 152.34 is: 228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.59 : 433.53 = 152.34 : x
  2. Step 2: Convert to fraction form
    289.59/433.53 = 152.34/x
  3. Step 3: Cross multiply
    289.59x = 433.53 × 152.34
  4. Step 4: Simplify right side
    289.59x = 66,043.96
  5. Step 5: Solve for x
    x = 66,043.96/289.59
  6. Step 6: Final answer
    x = 228.06

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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.