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Finding the Fourth Proportional to 341, 469.90 and 242.58

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Solution

The fourth proportional to 341, 469.90 and 242.58 is: 334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    341 : 469.90 = 242.58 : x
  2. Step 2: Convert to fraction form
    341/469.90 = 242.58/x
  3. Step 3: Cross multiply
    341x = 469.90 × 242.58
  4. Step 4: Simplify right side
    341x = 113,988.34
  5. Step 5: Solve for x
    x = 113,988.34/341
  6. Step 6: Final answer
    x = 334.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.