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Finding the Fourth Proportional to 346.51, 521.79 and 255.84

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Solution

The fourth proportional to 346.51, 521.79 and 255.84 is: 385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.51 : 521.79 = 255.84 : x
  2. Step 2: Convert to fraction form
    346.51/521.79 = 255.84/x
  3. Step 3: Cross multiply
    346.51x = 521.79 × 255.84
  4. Step 4: Simplify right side
    346.51x = 133,494.77
  5. Step 5: Solve for x
    x = 133,494.77/346.51
  6. Step 6: Final answer
    x = 385.25

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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.