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Finding the Fourth Proportional to 430.51, 644.89 and 343.99

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Solution

The fourth proportional to 430.51, 644.89 and 343.99 is: 515.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.51 : 644.89 = 343.99 : x
  2. Step 2: Convert to fraction form
    430.51/644.89 = 343.99/x
  3. Step 3: Cross multiply
    430.51x = 644.89 × 343.99
  4. Step 4: Simplify right side
    430.51x = 221,835.71
  5. Step 5: Solve for x
    x = 221,835.71/430.51
  6. Step 6: Final answer
    x = 515.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.