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Finding the Fourth Proportional to 328.56, 490.71 and 260.16

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Solution

The fourth proportional to 328.56, 490.71 and 260.16 is: 388.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.56 : 490.71 = 260.16 : x
  2. Step 2: Convert to fraction form
    328.56/490.71 = 260.16/x
  3. Step 3: Cross multiply
    328.56x = 490.71 × 260.16
  4. Step 4: Simplify right side
    328.56x = 127,663.11
  5. Step 5: Solve for x
    x = 127,663.11/328.56
  6. Step 6: Final answer
    x = 388.55

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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.