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Finding the Fourth Proportional to 384.11, 530.51 and 259.57

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Solution

The fourth proportional to 384.11, 530.51 and 259.57 is: 358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.11 : 530.51 = 259.57 : x
  2. Step 2: Convert to fraction form
    384.11/530.51 = 259.57/x
  3. Step 3: Cross multiply
    384.11x = 530.51 × 259.57
  4. Step 4: Simplify right side
    384.11x = 137,704.48
  5. Step 5: Solve for x
    x = 137,704.48/384.11
  6. Step 6: Final answer
    x = 358.50

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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.