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Finding the Fourth Proportional to 309.74, 427.05 and 260.51

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Solution

The fourth proportional to 309.74, 427.05 and 260.51 is: 359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.74 : 427.05 = 260.51 : x
  2. Step 2: Convert to fraction form
    309.74/427.05 = 260.51/x
  3. Step 3: Cross multiply
    309.74x = 427.05 × 260.51
  4. Step 4: Simplify right side
    309.74x = 111,248.66
  5. Step 5: Solve for x
    x = 111,248.66/309.74
  6. Step 6: Final answer
    x = 359.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.