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Finding the Fourth Proportional to 454.51, 627.32 and 297.17

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Solution

The fourth proportional to 454.51, 627.32 and 297.17 is: 410.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.51 : 627.32 = 297.17 : x
  2. Step 2: Convert to fraction form
    454.51/627.32 = 297.17/x
  3. Step 3: Cross multiply
    454.51x = 627.32 × 297.17
  4. Step 4: Simplify right side
    454.51x = 186,416.06
  5. Step 5: Solve for x
    x = 186,416.06/454.51
  6. Step 6: Final answer
    x = 410.15

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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.