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Finding the Fourth Proportional to 289.91, 436.58 and 261.35

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Solution

The fourth proportional to 289.91, 436.58 and 261.35 is: 393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.91 : 436.58 = 261.35 : x
  2. Step 2: Convert to fraction form
    289.91/436.58 = 261.35/x
  3. Step 3: Cross multiply
    289.91x = 436.58 × 261.35
  4. Step 4: Simplify right side
    289.91x = 114,100.18
  5. Step 5: Solve for x
    x = 114,100.18/289.91
  6. Step 6: Final answer
    x = 393.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.