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Finding the Fourth Proportional to 358.56, 492.24 and 309.40

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Solution

The fourth proportional to 358.56, 492.24 and 309.40 is: 424.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.56 : 492.24 = 309.40 : x
  2. Step 2: Convert to fraction form
    358.56/492.24 = 309.40/x
  3. Step 3: Cross multiply
    358.56x = 492.24 × 309.40
  4. Step 4: Simplify right side
    358.56x = 152,299.06
  5. Step 5: Solve for x
    x = 152,299.06/358.56
  6. Step 6: Final answer
    x = 424.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.