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Finding the Fourth Proportional to 349.79, 526.73 and 259.13

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Solution

The fourth proportional to 349.79, 526.73 and 259.13 is: 390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.79 : 526.73 = 259.13 : x
  2. Step 2: Convert to fraction form
    349.79/526.73 = 259.13/x
  3. Step 3: Cross multiply
    349.79x = 526.73 × 259.13
  4. Step 4: Simplify right side
    349.79x = 136,493.51
  5. Step 5: Solve for x
    x = 136,493.51/349.79
  6. Step 6: Final answer
    x = 390.21

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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.