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Finding the Fourth Proportional to 340.24, 508.10 and 275.32

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Solution

The fourth proportional to 340.24, 508.10 and 275.32 is: 411.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.24 : 508.10 = 275.32 : x
  2. Step 2: Convert to fraction form
    340.24/508.10 = 275.32/x
  3. Step 3: Cross multiply
    340.24x = 508.10 × 275.32
  4. Step 4: Simplify right side
    340.24x = 139,890.09
  5. Step 5: Solve for x
    x = 139,890.09/340.24
  6. Step 6: Final answer
    x = 411.15

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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.