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Finding the Fourth Proportional to 289.99, 435.12 and 228.93

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Solution

The fourth proportional to 289.99, 435.12 and 228.93 is: 343.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.99 : 435.12 = 228.93 : x
  2. Step 2: Convert to fraction form
    289.99/435.12 = 228.93/x
  3. Step 3: Cross multiply
    289.99x = 435.12 × 228.93
  4. Step 4: Simplify right side
    289.99x = 99,612.02
  5. Step 5: Solve for x
    x = 99,612.02/289.99
  6. Step 6: Final answer
    x = 343.50

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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.