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Finding the Fourth Proportional to 448.07, 671.40 and 265.23

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Solution

The fourth proportional to 448.07, 671.40 and 265.23 is: 397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.07 : 671.40 = 265.23 : x
  2. Step 2: Convert to fraction form
    448.07/671.40 = 265.23/x
  3. Step 3: Cross multiply
    448.07x = 671.40 × 265.23
  4. Step 4: Simplify right side
    448.07x = 178,075.42
  5. Step 5: Solve for x
    x = 178,075.42/448.07
  6. Step 6: Final answer
    x = 397.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.