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Finding the Fourth Proportional to 354.39, 488.81 and 295.47

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Solution

The fourth proportional to 354.39, 488.81 and 295.47 is: 407.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.39 : 488.81 = 295.47 : x
  2. Step 2: Convert to fraction form
    354.39/488.81 = 295.47/x
  3. Step 3: Cross multiply
    354.39x = 488.81 × 295.47
  4. Step 4: Simplify right side
    354.39x = 144,427.21
  5. Step 5: Solve for x
    x = 144,427.21/354.39
  6. Step 6: Final answer
    x = 407.54

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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.