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Finding the Fourth Proportional to 384.15, 530.68 and 305.99

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Solution

The fourth proportional to 384.15, 530.68 and 305.99 is: 422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.15 : 530.68 = 305.99 : x
  2. Step 2: Convert to fraction form
    384.15/530.68 = 305.99/x
  3. Step 3: Cross multiply
    384.15x = 530.68 × 305.99
  4. Step 4: Simplify right side
    384.15x = 162,380.12
  5. Step 5: Solve for x
    x = 162,380.12/384.15
  6. Step 6: Final answer
    x = 422.70

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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.