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Finding the Fourth Proportional to 448.54, 675.86 and 369.16

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Solution

The fourth proportional to 448.54, 675.86 and 369.16 is: 556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.54 : 675.86 = 369.16 : x
  2. Step 2: Convert to fraction form
    448.54/675.86 = 369.16/x
  3. Step 3: Cross multiply
    448.54x = 675.86 × 369.16
  4. Step 4: Simplify right side
    448.54x = 249,500.48
  5. Step 5: Solve for x
    x = 249,500.48/448.54
  6. Step 6: Final answer
    x = 556.25

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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.