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Finding the Fourth Proportional to 384.35, 530.64 and 296.01

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Solution

The fourth proportional to 384.35, 530.64 and 296.01 is: 408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.35 : 530.64 = 296.01 : x
  2. Step 2: Convert to fraction form
    384.35/530.64 = 296.01/x
  3. Step 3: Cross multiply
    384.35x = 530.64 × 296.01
  4. Step 4: Simplify right side
    384.35x = 157,074.75
  5. Step 5: Solve for x
    x = 157,074.75/384.35
  6. Step 6: Final answer
    x = 408.68

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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.