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Finding the Fourth Proportional to 384.10, 530.08 and 216.06

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Solution

The fourth proportional to 384.10, 530.08 and 216.06 is: 298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.10 : 530.08 = 216.06 : x
  2. Step 2: Convert to fraction form
    384.10/530.08 = 216.06/x
  3. Step 3: Cross multiply
    384.10x = 530.08 × 216.06
  4. Step 4: Simplify right side
    384.10x = 114,529.08
  5. Step 5: Solve for x
    x = 114,529.08/384.10
  6. Step 6: Final answer
    x = 298.18

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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.