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Finding the Fourth Proportional to 309.76, 464.64 and 286.08

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Solution

The fourth proportional to 309.76, 464.64 and 286.08 is: 429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.76 : 464.64 = 286.08 : x
  2. Step 2: Convert to fraction form
    309.76/464.64 = 286.08/x
  3. Step 3: Cross multiply
    309.76x = 464.64 × 286.08
  4. Step 4: Simplify right side
    309.76x = 132,924.21
  5. Step 5: Solve for x
    x = 132,924.21/309.76
  6. Step 6: Final answer
    x = 429.12

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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.