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Finding the Fourth Proportional to 341.14, 509.05 and 292.36

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Solution

The fourth proportional to 341.14, 509.05 and 292.36 is: 436.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.14 : 509.05 = 292.36 : x
  2. Step 2: Convert to fraction form
    341.14/509.05 = 292.36/x
  3. Step 3: Cross multiply
    341.14x = 509.05 × 292.36
  4. Step 4: Simplify right side
    341.14x = 148,825.86
  5. Step 5: Solve for x
    x = 148,825.86/341.14
  6. Step 6: Final answer
    x = 436.26

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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.