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Finding the Fourth Proportional to 349.04, 525.60 and 258.38

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Solution

The fourth proportional to 349.04, 525.60 and 258.38 is: 389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.04 : 525.60 = 258.38 : x
  2. Step 2: Convert to fraction form
    349.04/525.60 = 258.38/x
  3. Step 3: Cross multiply
    349.04x = 525.60 × 258.38
  4. Step 4: Simplify right side
    349.04x = 135,803.87
  5. Step 5: Solve for x
    x = 135,803.87/349.04
  6. Step 6: Final answer
    x = 389.08

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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.