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Finding the Fourth Proportional to 346.98, 522.21 and 260.76

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Solution

The fourth proportional to 346.98, 522.21 and 260.76 is: 392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.98 : 522.21 = 260.76 : x
  2. Step 2: Convert to fraction form
    346.98/522.21 = 260.76/x
  3. Step 3: Cross multiply
    346.98x = 522.21 × 260.76
  4. Step 4: Simplify right side
    346.98x = 136,171.48
  5. Step 5: Solve for x
    x = 136,171.48/346.98
  6. Step 6: Final answer
    x = 392.45

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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.