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Finding the Fourth Proportional to 425.12, 586.48 and 248.06

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Solution

The fourth proportional to 425.12, 586.48 and 248.06 is: 342.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.12 : 586.48 = 248.06 : x
  2. Step 2: Convert to fraction form
    425.12/586.48 = 248.06/x
  3. Step 3: Cross multiply
    425.12x = 586.48 × 248.06
  4. Step 4: Simplify right side
    425.12x = 145,482.23
  5. Step 5: Solve for x
    x = 145,482.23/425.12
  6. Step 6: Final answer
    x = 342.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.