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Finding the Fourth Proportional to 349.59, 526.34 and 242.10

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Solution

The fourth proportional to 349.59, 526.34 and 242.10 is: 364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.59 : 526.34 = 242.10 : x
  2. Step 2: Convert to fraction form
    349.59/526.34 = 242.10/x
  3. Step 3: Cross multiply
    349.59x = 526.34 × 242.10
  4. Step 4: Simplify right side
    349.59x = 127,425.70
  5. Step 5: Solve for x
    x = 127,425.70/349.59
  6. Step 6: Final answer
    x = 364.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.