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Finding the Fourth Proportional to 450.62, 621.65 and 264.00

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Solution

The fourth proportional to 450.62, 621.65 and 264.00 is: 364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.62 : 621.65 = 264.00 : x
  2. Step 2: Convert to fraction form
    450.62/621.65 = 264.00/x
  3. Step 3: Cross multiply
    450.62x = 621.65 × 264.00
  4. Step 4: Simplify right side
    450.62x = 164,113.11
  5. Step 5: Solve for x
    x = 164,113.11/450.62
  6. Step 6: Final answer
    x = 364.19

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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.