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Finding the Fourth Proportional to 358.95, 537.18 and 293.19

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Solution

The fourth proportional to 358.95, 537.18 and 293.19 is: 438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.95 : 537.18 = 293.19 : x
  2. Step 2: Convert to fraction form
    358.95/537.18 = 293.19/x
  3. Step 3: Cross multiply
    358.95x = 537.18 × 293.19
  4. Step 4: Simplify right side
    358.95x = 157,495.80
  5. Step 5: Solve for x
    x = 157,495.80/358.95
  6. Step 6: Final answer
    x = 438.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.