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Finding the Fourth Proportional to 349.67, 526.54 and 259.01

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Solution

The fourth proportional to 349.67, 526.54 and 259.01 is: 390.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.67 : 526.54 = 259.01 : x
  2. Step 2: Convert to fraction form
    349.67/526.54 = 259.01/x
  3. Step 3: Cross multiply
    349.67x = 526.54 × 259.01
  4. Step 4: Simplify right side
    349.67x = 136,379.13
  5. Step 5: Solve for x
    x = 136,379.13/349.67
  6. Step 6: Final answer
    x = 390.02

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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.