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Finding the Fourth Proportional to 384.08, 530.08 and 253.13

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Solution

The fourth proportional to 384.08, 530.08 and 253.13 is: 349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.08 : 530.08 = 253.13 : x
  2. Step 2: Convert to fraction form
    384.08/530.08 = 253.13/x
  3. Step 3: Cross multiply
    384.08x = 530.08 × 253.13
  4. Step 4: Simplify right side
    384.08x = 134,175.87
  5. Step 5: Solve for x
    x = 134,175.87/384.08
  6. Step 6: Final answer
    x = 349.35

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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.