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Finding the Fourth Proportional to 414.64, 572.45 and 368.51

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Solution

The fourth proportional to 414.64, 572.45 and 368.51 is: 508.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.64 : 572.45 = 368.51 : x
  2. Step 2: Convert to fraction form
    414.64/572.45 = 368.51/x
  3. Step 3: Cross multiply
    414.64x = 572.45 × 368.51
  4. Step 4: Simplify right side
    414.64x = 210,956.50
  5. Step 5: Solve for x
    x = 210,956.50/414.64
  6. Step 6: Final answer
    x = 508.77

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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.