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Finding the Fourth Proportional to 341.06, 509.34 and 291.79

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Solution

The fourth proportional to 341.06, 509.34 and 291.79 is: 435.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.06 : 509.34 = 291.79 : x
  2. Step 2: Convert to fraction form
    341.06/509.34 = 291.79/x
  3. Step 3: Cross multiply
    341.06x = 509.34 × 291.79
  4. Step 4: Simplify right side
    341.06x = 148,620.32
  5. Step 5: Solve for x
    x = 148,620.32/341.06
  6. Step 6: Final answer
    x = 435.76

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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.