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Finding the Fourth Proportional to 356.92, 536.48 and 309.40

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Solution

The fourth proportional to 356.92, 536.48 and 309.40 is: 465.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.92 : 536.48 = 309.40 : x
  2. Step 2: Convert to fraction form
    356.92/536.48 = 309.40/x
  3. Step 3: Cross multiply
    356.92x = 536.48 × 309.40
  4. Step 4: Simplify right side
    356.92x = 165,986.91
  5. Step 5: Solve for x
    x = 165,986.91/356.92
  6. Step 6: Final answer
    x = 465.05

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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.