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Finding the Fourth Proportional to 288.58, 433.35 and 286.34

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Solution

The fourth proportional to 288.58, 433.35 and 286.34 is: 429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.58 : 433.35 = 286.34 : x
  2. Step 2: Convert to fraction form
    288.58/433.35 = 286.34/x
  3. Step 3: Cross multiply
    288.58x = 433.35 × 286.34
  4. Step 4: Simplify right side
    288.58x = 124,085.44
  5. Step 5: Solve for x
    x = 124,085.44/288.58
  6. Step 6: Final answer
    x = 429.99

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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.