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Finding the Fourth Proportional to 341.02, 509.32 and 279.46

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Solution

The fourth proportional to 341.02, 509.32 and 279.46 is: 417.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.02 : 509.32 = 279.46 : x
  2. Step 2: Convert to fraction form
    341.02/509.32 = 279.46/x
  3. Step 3: Cross multiply
    341.02x = 509.32 × 279.46
  4. Step 4: Simplify right side
    341.02x = 142,334.57
  5. Step 5: Solve for x
    x = 142,334.57/341.02
  6. Step 6: Final answer
    x = 417.38

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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.