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Finding the Fourth Proportional to 430.21, 593.49 and 290.42

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Solution

The fourth proportional to 430.21, 593.49 and 290.42 is: 400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.21 : 593.49 = 290.42 : x
  2. Step 2: Convert to fraction form
    430.21/593.49 = 290.42/x
  3. Step 3: Cross multiply
    430.21x = 593.49 × 290.42
  4. Step 4: Simplify right side
    430.21x = 172,361.71
  5. Step 5: Solve for x
    x = 172,361.71/430.21
  6. Step 6: Final answer
    x = 400.64

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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.