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Finding the Fourth Proportional to 355.70, 530.98 and 328.98

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Solution

The fourth proportional to 355.70, 530.98 and 328.98 is: 491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.70 : 530.98 = 328.98 : x
  2. Step 2: Convert to fraction form
    355.70/530.98 = 328.98/x
  3. Step 3: Cross multiply
    355.70x = 530.98 × 328.98
  4. Step 4: Simplify right side
    355.70x = 174,681.80
  5. Step 5: Solve for x
    x = 174,681.80/355.70
  6. Step 6: Final answer
    x = 491.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.