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Finding the Fourth Proportional to 430.00, 593.39 and 261.89

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Solution

The fourth proportional to 430.00, 593.39 and 261.89 is: 361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.00 : 593.39 = 261.89 : x
  2. Step 2: Convert to fraction form
    430.00/593.39 = 261.89/x
  3. Step 3: Cross multiply
    430.00x = 593.39 × 261.89
  4. Step 4: Simplify right side
    430.00x = 155,403.08
  5. Step 5: Solve for x
    x = 155,403.08/430.00
  6. Step 6: Final answer
    x = 361.40

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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.