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Finding the Fourth Proportional to 448.23, 618 and 308.10

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Solution

The fourth proportional to 448.23, 618 and 308.10 is: 424.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.23 : 618 = 308.10 : x
  2. Step 2: Convert to fraction form
    448.23/618 = 308.10/x
  3. Step 3: Cross multiply
    448.23x = 618 × 308.10
  4. Step 4: Simplify right side
    448.23x = 190,405.80
  5. Step 5: Solve for x
    x = 190,405.80/448.23
  6. Step 6: Final answer
    x = 424.79

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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.