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Finding the Fourth Proportional to 280.03, 417.77 and 264.91

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Solution

The fourth proportional to 280.03, 417.77 and 264.91 is: 395.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.03 : 417.77 = 264.91 : x
  2. Step 2: Convert to fraction form
    280.03/417.77 = 264.91/x
  3. Step 3: Cross multiply
    280.03x = 417.77 × 264.91
  4. Step 4: Simplify right side
    280.03x = 110,671.45
  5. Step 5: Solve for x
    x = 110,671.45/280.03
  6. Step 6: Final answer
    x = 395.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.