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Finding the Fourth Proportional to 270.74, 403.74 and 260.24

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Solution

The fourth proportional to 270.74, 403.74 and 260.24 is: 388.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.74 : 403.74 = 260.24 : x
  2. Step 2: Convert to fraction form
    270.74/403.74 = 260.24/x
  3. Step 3: Cross multiply
    270.74x = 403.74 × 260.24
  4. Step 4: Simplify right side
    270.74x = 105,068.00
  5. Step 5: Solve for x
    x = 105,068.00/270.74
  6. Step 6: Final answer
    x = 388.08

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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.