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Finding the Fourth Proportional to 378.66, 522.66 and 260.81

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Solution

The fourth proportional to 378.66, 522.66 and 260.81 is: 359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.66 : 522.66 = 260.81 : x
  2. Step 2: Convert to fraction form
    378.66/522.66 = 260.81/x
  3. Step 3: Cross multiply
    378.66x = 522.66 × 260.81
  4. Step 4: Simplify right side
    378.66x = 136,312.34
  5. Step 5: Solve for x
    x = 136,312.34/378.66
  6. Step 6: Final answer
    x = 359.99

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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.