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Finding the Fourth Proportional to 296.70, 442.86 and 260.25

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Solution

The fourth proportional to 296.70, 442.86 and 260.25 is: 388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.70 : 442.86 = 260.25 : x
  2. Step 2: Convert to fraction form
    296.70/442.86 = 260.25/x
  3. Step 3: Cross multiply
    296.70x = 442.86 × 260.25
  4. Step 4: Simplify right side
    296.70x = 115,254.32
  5. Step 5: Solve for x
    x = 115,254.32/296.70
  6. Step 6: Final answer
    x = 388.45

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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.