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Finding the Fourth Proportional to 341.65, 514.51 and 309.52

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Solution

The fourth proportional to 341.65, 514.51 and 309.52 is: 466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.65 : 514.51 = 309.52 : x
  2. Step 2: Convert to fraction form
    341.65/514.51 = 309.52/x
  3. Step 3: Cross multiply
    341.65x = 514.51 × 309.52
  4. Step 4: Simplify right side
    341.65x = 159,251.14
  5. Step 5: Solve for x
    x = 159,251.14/341.65
  6. Step 6: Final answer
    x = 466.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.