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Finding the Fourth Proportional to 309.60, 461.76 and 283.68

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Solution

The fourth proportional to 309.60, 461.76 and 283.68 is: 423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.60 : 461.76 = 283.68 : x
  2. Step 2: Convert to fraction form
    309.60/461.76 = 283.68/x
  3. Step 3: Cross multiply
    309.60x = 461.76 × 283.68
  4. Step 4: Simplify right side
    309.60x = 130,992.08
  5. Step 5: Solve for x
    x = 130,992.08/309.60
  6. Step 6: Final answer
    x = 423.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.