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Finding the Fourth Proportional to 309.48, 461.46 and 305.70

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Solution

The fourth proportional to 309.48, 461.46 and 305.70 is: 455.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.48 : 461.46 = 305.70 : x
  2. Step 2: Convert to fraction form
    309.48/461.46 = 305.70/x
  3. Step 3: Cross multiply
    309.48x = 461.46 × 305.70
  4. Step 4: Simplify right side
    309.48x = 141,068.32
  5. Step 5: Solve for x
    x = 141,068.32/309.48
  6. Step 6: Final answer
    x = 455.82

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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.