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Finding the Fourth Proportional to 349.89, 526.88 and 259.23

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Solution

The fourth proportional to 349.89, 526.88 and 259.23 is: 390.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.89 : 526.88 = 259.23 : x
  2. Step 2: Convert to fraction form
    349.89/526.88 = 259.23/x
  3. Step 3: Cross multiply
    349.89x = 526.88 × 259.23
  4. Step 4: Simplify right side
    349.89x = 136,583.10
  5. Step 5: Solve for x
    x = 136,583.10/349.89
  6. Step 6: Final answer
    x = 390.36

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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.