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Finding the Fourth Proportional to 348.77, 525.18 and 258.10

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Solution

The fourth proportional to 348.77, 525.18 and 258.10 is: 388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.77 : 525.18 = 258.10 : x
  2. Step 2: Convert to fraction form
    348.77/525.18 = 258.10/x
  3. Step 3: Cross multiply
    348.77x = 525.18 × 258.10
  4. Step 4: Simplify right side
    348.77x = 135,547.65
  5. Step 5: Solve for x
    x = 135,547.65/348.77
  6. Step 6: Final answer
    x = 388.65

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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.