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Finding the Fourth Proportional to 384.36, 530.64 and 253.60

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Solution

The fourth proportional to 384.36, 530.64 and 253.60 is: 350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.36 : 530.64 = 253.60 : x
  2. Step 2: Convert to fraction form
    384.36/530.64 = 253.60/x
  3. Step 3: Cross multiply
    384.36x = 530.64 × 253.60
  4. Step 4: Simplify right side
    384.36x = 134,570.30
  5. Step 5: Solve for x
    x = 134,570.30/384.36
  6. Step 6: Final answer
    x = 350.12

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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.