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Finding the Fourth Proportional to 312.66, 465.68 and 309.06

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Solution

The fourth proportional to 312.66, 465.68 and 309.06 is: 460.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.66 : 465.68 = 309.06 : x
  2. Step 2: Convert to fraction form
    312.66/465.68 = 309.06/x
  3. Step 3: Cross multiply
    312.66x = 465.68 × 309.06
  4. Step 4: Simplify right side
    312.66x = 143,921.52
  5. Step 5: Solve for x
    x = 143,921.52/312.66
  6. Step 6: Final answer
    x = 460.31

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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.