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Finding the Fourth Proportional to 429.05, 646.14 and 361.01

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Solution

The fourth proportional to 429.05, 646.14 and 361.01 is: 543.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.05 : 646.14 = 361.01 : x
  2. Step 2: Convert to fraction form
    429.05/646.14 = 361.01/x
  3. Step 3: Cross multiply
    429.05x = 646.14 × 361.01
  4. Step 4: Simplify right side
    429.05x = 233,259.77
  5. Step 5: Solve for x
    x = 233,259.77/429.05
  6. Step 6: Final answer
    x = 543.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.