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Finding the Fourth Proportional to 430.53, 593.81 and 290.58

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Solution

The fourth proportional to 430.53, 593.81 and 290.58 is: 400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.53 : 593.81 = 290.58 : x
  2. Step 2: Convert to fraction form
    430.53/593.81 = 290.58/x
  3. Step 3: Cross multiply
    430.53x = 593.81 × 290.58
  4. Step 4: Simplify right side
    430.53x = 172,547.86
  5. Step 5: Solve for x
    x = 172,547.86/430.53
  6. Step 6: Final answer
    x = 400.78

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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.