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Finding the Fourth Proportional to 340.41, 469.35 and 242.00

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Solution

The fourth proportional to 340.41, 469.35 and 242.00 is: 333.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.41 : 469.35 = 242.00 : x
  2. Step 2: Convert to fraction form
    340.41/469.35 = 242.00/x
  3. Step 3: Cross multiply
    340.41x = 469.35 × 242.00
  4. Step 4: Simplify right side
    340.41x = 113,580.35
  5. Step 5: Solve for x
    x = 113,580.35/340.41
  6. Step 6: Final answer
    x = 333.66

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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.