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Finding the Fourth Proportional to 384.76, 530.99 and 219.01

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Solution

The fourth proportional to 384.76, 530.99 and 219.01 is: 302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.76 : 530.99 = 219.01 : x
  2. Step 2: Convert to fraction form
    384.76/530.99 = 219.01/x
  3. Step 3: Cross multiply
    384.76x = 530.99 × 219.01
  4. Step 4: Simplify right side
    384.76x = 116,292.12
  5. Step 5: Solve for x
    x = 116,292.12/384.76
  6. Step 6: Final answer
    x = 302.25

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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.